1.

If a number 573 xy is divisible by 90, then what is the value of x + y ?

Answer»

573 xy is divisible by 90, i.e., (9 × 10) 

\(\implies\) 573 xy is divisible by both 9 and 10. 

\(\implies\) y = 0 as a number is divisible by 10 if its ones' digit = 0. 

Also, sum of digits = 5 + 7 + 3 + x + 0 = 15 + x 

For divisibility by 9, 15 + x = 18 \(\Rightarrow\) x = 3 

\(\therefore\) x + y = 3 + 0 = 3.



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